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Finding the Fourth Proportional to 1,155.84, 1,732.32 and 538.74

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Solution

The fourth proportional to 1,155.84, 1,732.32 and 538.74 is: 807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.84 : 1,732.32 = 538.74 : x
  2. Step 2: Convert to fraction form
    1,155.84/1,732.32 = 538.74/x
  3. Step 3: Cross multiply
    1,155.84x = 1,732.32 × 538.74
  4. Step 4: Simplify right side
    1,155.84x = 933,270.08
  5. Step 5: Solve for x
    x = 933,270.08/1,155.84
  6. Step 6: Final answer
    x = 807.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.